Lax integrability and soliton solutions of the (2 + 1)- dimensional Kadomtsev– Petviashvili– Sawada–Kotera– Ramani equation

In this paper, a new (2 + 1)-dimensional nonlinear evolution equation is investigated. This called the Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation, which can be seen as two-dimensional extension of Korteweg–de Vries–Sawada–Kotera–Ramani equation. By means Hirota’s bilinear operator and binary Bell polynomials, form Bäcklund transformation are obtained. Furthermore, by application Hopf-Cole transformation, Lax pair also derived. introducing potential function, infinitely many conservation laws constructed. Therefore, integrability revealed for first time. Finally, analytical solutions, N -soliton solutions presented.